Definition:Stellation
Jump to navigation
Jump to search
Definition
Stellation is the process of extending the extremities of a geometric figure in a specifically structured way, in order to form new figures from those extensions.
The figure so generated is itself known as a stellation or a stellated original figure.
Polygon
A stellation of a polygon $P$ is a plane figure formed by extending the sides of $P$ until they meet.
Polyhedron
A stellation of a polyhedron $H$ is a solid figure formed by extending the faces of $H$ until they meet.
Linguistic Note
The word stellation derives from the Latin stellātus, meaning starred, which in turn comes from the Latin stella, meaning star.